Linear representations of soluble groups of finite Morley rank

نویسندگان

  • Tuna Altinel
  • John S. Wilson
  • TUNA ALTINEL
  • JOHN S. WILSON
چکیده

Sufficient conditions are given for groups of finite Morley rank having non-trivial torsion-free nilpotent normal subgroups to have linear representations with small kernels. In particular, centreless connected soluble groups of finite Morley rank with torsion-free Fitting subgroups have faithful linear representations. On the way, using a notion of definable weight space, we prove that certain connected soluble groups of finite Morley rank with torsion-free derived subgroup can be embedded in groups of finite Morley rank whose Fitting subgroups have definable abelian supplements.

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تاریخ انتشار 2010